Atkin-Lehner |
3- 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86025n |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-91128701953125 = -1 · 38 · 58 · 312 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11237,28142] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-1201:1] |
Generators of the group modulo torsion |
j |
401709779375/233289477 |
j-invariant |
L |
3.8723845194775 |
L(r)(E,1)/r! |
Ω |
0.36288708619257 |
Real period |
R |
0.22231344299002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86025b1 |
Quadratic twists by: 5 |